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Why Sine Membership Functions

2022
In applications of fuzzy techniques to several practical problems -- in particular, to the problem of predicting passenger flows in the airports -- the most efficient membership function is a sine function; to be precise, a portion of a sine function between the two zeros. In this paper, we provide a theoretical explanation for this empirical success.
Holguin, Sofia   +4 more
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Sine function generator

2014 IEEE International Symposium on Bioelectronics and Bioinformatics (IEEE ISBB 2014), 2014
This paper proposes the class of the translinear (TL) circuits implementing a wide range of static nonlinear relationships in the current signal domain to computational such as generating products, quotients, vector magnitude and rational functions, which are implemented in a standard 0.35-µm SiGe technology.
null Jun-Hong Weng, null Di-Yu Lin
openaire   +1 more source

Functional Equations Related to Sine Type Functions

Complex Analysis and Operator Theory, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manfred Möller, Vyacheslav Pivovarchik
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A sine function resistor

Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics, 1955
This paper describes a sine function resistor of rather unusual design. A linear resistance card bent to circular shape about an eccentric frame of very simple construction is employed to obtain a resistance variation that is within very close limits of true sine values.
K. L. Nielsen, E. H. Roland
openaire   +1 more source

Differential Algebraicity of Multiple Sine Functions

Letters in Mathematical Physics, 2005
Let \(w_1,\dots, w_r> 0\). The multiple sine function of period \(\underline w= (w_1,\dots, w_r)\) is defined by \[ S_r(x,\underline w)= \Gamma_r(x,\underline w)^{-1} \Gamma_r(|\underline w|- x,\underline w)^{-1)^r}, \] where \(|\underline w|= w_1+\cdots+ w_r\), and \(\Gamma_r(x,\underline w)\) is the multiple gamma function originally studied by ...
Kurokawa, Nobushige, Wakayama, Masato
openaire   +1 more source

A Functional Equation Characterising the Sine

The Mathematical Gazette, 1960
Recent articles on equations characterising the trigonometric functions ([1], [2]) prompt a consideration of still another equation, which might be classified under the heading of “Students’ Mathematical Mythology” In [3], Mr. Heafford multiplies the “obvious” sin ( x + y
Rosenbaum, R. A., Segal, S. L.
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Integrated Trigonometric Sine Functions

2001
Abstract Given (A, D(A)) a closed (not necessarily densely defined) linear operator in a Banach space X, a new family of bounded and linear operators, the α-times integrated trigonometric sine function (with α ≥ 0) is introduced in order to find the link between the α-times integrated cosine function (generated by – A2) and the α-times integrated ...
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Shintani’s prehomogeneous zeta functions and multiple sine functions

Rendiconti del Circolo Matematico di Palermo, 2005
For \(n\geq 1\) let \(Z_n(s)\) be Shintani's prehomogeneous zeta function associated to the space of symmetric matrices. The author proves that for \(n\equiv 1\pmod 4\), \(n\neq 1\), the function \( Z_n(s)\) has a simple zero at \(s=0\), and \[ Z_n'(0)=-(-4)^{\frac{1-n}{4}}(\zeta(-1)\zeta(-3)\dots \zeta(-(n-2)))^2\log\left(\prod_{k=1}^{\frac{n-1}{4}}S_{
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Multiple gamma functions, multiple sine functions, and Appell’s O-functions

The Ramanujan Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sine-Gordon kinks in dynamic structure functions

Physical Review B, 1985
In this paper we calculate the dynamic structure functions associated with a periodic Sine-Gordon kink condensate and compare the results to recent neutron scattering experiments in CsNiF/sub 3/ and TMMC ((CH/sub 3/)/sub 4/NMnCl/sub 3/).
, Hammer, , Shrauner
openaire   +2 more sources

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